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Finding the Third Proportional to 22,377.25 and 31,368.75

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Solution

The third proportional to 22,377.25 and 31,368.75 is: 43,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377.25 : 31,368.75 = 31,368.75 : x
  2. Step 2: Convert to fraction form
    22,377.25/31,368.75 = 31,368.75/x
  3. Step 3: Cross multiply
    22,377.25x = 31,368.75 × 31,368.75
  4. Step 4: Simplify right side
    22,377.25x = 983,998,476.56
  5. Step 5: Solve for x
    x = 983,998,476.56/22,377.25
  6. Step 6: Final answer
    x = 43,973.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.